Answer:
Multiplication property of equality
Step-by-step explanation:
Given
Step 4: b = -27/8
Required
Which property justifies it?
First, it should be noted that step 4 is a result of step 3
When step 3 is multiplied by 3/8 on both sides, we have step 4;
i.e.
[tex]\frac{8}{3b} = -9[/tex]
[tex]\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}[/tex]
[tex]b = -9 * \frac{3}{8}[/tex]
[tex]b = \frac{-9 * 3}{8}[/tex]
[tex]b = \frac{-27}{8}[/tex]
The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality
When graphed, which parabola opens downward?
Answer:
A
Step-by-step explanation:
Edge 2020
The numbers 1 through 10 are put in one bag, and the numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number? please answer as an unsimplified fraction.
Answer:
36/100
Step-by-step explanation:
this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.
The probability that we get the same number is 9/25.
What is probability?It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.
How to find the probability?Numbers in first bag=10
Numbers in second bag=10
Common numbers=5,6,7,8,9,10
Total common numbers=6
So the probability that we get the same numbers will be
= 6/10* 6/10
=36/100
=18/50
=9/25
Hence the probability that we will get the same numbers is 9/25.
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Find the missing length indicated
Answer:
x = 25.
Step-by-step explanation:
Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.
Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!
[tex]\frac{x}{60} =\frac{60}{144}[/tex]
144 * x = 60 * 60
144x = 3600
2x = 50
x = 25
Hope this helps!
The lengths of the rectangle have been measured to the nearest tenth of a metre.
Work out the following, writing down all the figures on your calculator display:
the upper bound for the perimeter of the rectangle
the lower bound for the area of the rectangle
length - 15.8m
width - 5.2m
Answer:
Perimeter (upper bound) =42.16 m
Area (lower bound)= 81.11 m2
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Since both measures were rounded to the nearest tenth, the possible numbers are:
Length (L) =15.8m ; (between 15.75 and 15.84)
Lower =15.75 ; upper = 15.84
Width (w) =5.2m (between 5.15 and 5.24)
Lower = 5.15 ; upper = 5.24
Perimeter = 2L +2w (using the upper bound values)Upper bound perimeter = 2 (15.84)+2(5.24) = 42.16 m
Area = L x w (using the lower bound values)Lower bound for the area of the rectangle = 15.75 x 5.15 = 81.11 m2
Feel free to ask for more if needed or if you did not understand something.
The first jumbo jet was the Boeing 747, which is 70.5 meters long. The wingspan of the 747 is 60 meters. A model 747 has a wingspan of 80 centimeters. What should the length of the model be? tell your work.
Answer: The correct answer is 94 cm.
Step-by-step explanation:
wingspan length
60 meters 70.5 m
----------------- = ----------------
80 cm x
Cross multiply
(60 m)x = (70.5 m)(80 cm)
Solve for x by dividing both sides of equation by 60 m:
x = (70.5 m)(80 cm) / (60 m) = 94 cm
The length of the model is 94 cm.
Answer:
94 cm
Step-by-step explanation:
Write and solve an equation of ratios:
70.5 m 60 m
----------- = -----------
L 80 cm
Cross multiplying, we get:
(70.5 m)(80 cm) = (60 m)L
(70.5 m)(80 cm)
Then the model length, L, should be L = -------------------------
60 m
or
L = 94 cm
Interpret the standard deviation of a set of data
Question
A food processing plant fills snack-sized bags of crackers. The mean number of crackers in each bag is 22 and the
standard deviation is 2. The factory supervisor selects one bag that contains 24 crackers.
Which of the following statements is true?
Select the correct answer below
des
The number of crackers in the supervisor's bag is 2 standard deviations to the right of the mean
ery
The number of crackers in the supervisor's bag is 2 standard deviations to the left of the mean.
The number of crackers in the supervisor's bag is i standard deviation to the right of the mean.
upport
Top
The number of crackers in the supervisor's bag is i standard deviation to the left of the mean
O
Previous
Show
Answer:
C. The number of crackers in the supervisor's bag is 1 standard deviation to the right of the mean.
Step-by-step explanation:
Data
the mean number of crackers in each bag is 22 the standard deviation is 2mean + standard deviation = 22 + 2 = 24, that is, 1 standard deviation to the right of the mean (the addition is to the right, the subtraction to the left).
I will give you all ⭐⭐⭐⭐⭐ Try to zoom in or flip your phone to see better.
Answer:
The correct option is:
x+y = 2
Step-by-step explanation:
Street 1 is given.
If Street 2 is parallel to Street 1, then they will have the same slope.
Find slope of Street 1:
Take any 2 points on Street 1. Consider (-2,3) and (1,0)
Slope is given by:
m = (y₂ - y₁) / (x₂ - x₁)
m = 0-3 / 1-(-2)
m = -3/3
m = -1
For Street 2:
y = mx + c
y = -1x +c
As it passes through (-2,4), substitute the point in the above equation:
4 = -1(-2) + c
c = 2
So substitute m = -1 and c =2 into general form of equation:
y = mx + c
y = -x + 2
or
x+y = 2
An EASY QUESTION because I’m dumb sometimes 30 POINTS!( 05.05 LC)
Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows for the data collecte
Favorite Superhero
Superman Spiderman Batman Wonder Woman
0.06 0.21 0.25 0.11
0.63
Boys
Girls
0.07
0.02
0.03
0.25
0.37
Column totals 0.14
0.23
0.28
0.36
1
Based on the data which superhero is most likely to be the favorite?
Superman
Spiderman
Batman
Wonder Woman
Answer:
Wonder Woman
Step-by-step explanation:
she has the highest total
Answer:
The correct answer is Wonder woman
Step-by-step explanation:
Its because wonder woman has the highest total. Its that simple.
Hope this helps! bye
Suppose you have a block of gold with a mass of 100 g. The density of gold is 19.3 g/cm3. What's the volume of your block of gold? Question 8 options: A) 0.193 g/cm3 B) 193 cm3 C) 1,930 cm3 D) 5.18 cm3
Given the figure below, find the values of x and z.
Answer:
X= 6°z= 112°Solution,
Finding the value of X,
[tex]11x + 2 = 68[/tex]
( being vertically opposite angles)
[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]
Value of X is 6
Now, finding the value of z
[tex]z + 68 = 180[/tex]
(sum of angle in linear pair)
[tex]z = 180 - 68 \\ z = 112[/tex]
Value of z is 112.
Hope this helps....
Good luck on your assignment...
Identify this angle. /_AME
Answer:
The answer is option B.Angle AME is 180° hence a straight angle.
Hope this helps you.
Answer:
straight
Step-by-step explanation:
<AME is a straight angle because:
in a straight angle, there are two rays that connect to form a sort of line. Point M is the endpoint that connects them together.a straight angle can also be formed by adding two right angles, and you can see that <AMC and <EMC are right angles. a straight angle forms 180 degrees, which forms a straight line.I hope this helped you, and have a great rest of your day!
How can this same solution be written using set builder notation? {x | x > }?
Corrected Question
The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }
Answer:
[tex]\{x | x >3 \}[/tex]
Step-by-step explanation:
Given an inequality whose solution is represented by the number line attached below.
We observe the following from the number line
There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)
The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:
The solution in the number line can be written using set-builder notation as:
[tex]\{x | x >3 \}[/tex]
rationalise the denominator and simplify 15÷
[tex] \sqrt{3} [/tex]
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]\frac{15}{\sqrt{3} }[/tex]
Multiplying and dividing by [tex]\sqrt{3}[/tex]
=> [tex]\frac{15}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]
=> [tex]\frac{15\sqrt{3} }{(\sqrt{3})^2 }[/tex]
=> [tex]\frac{15\sqrt{3} }{3}[/tex]
=> [tex]5\sqrt{3}[/tex] (A Rationalized denominator!)
Answer:
5√3
Step-by-step explanation:
To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply [tex]\frac{15}{\sqrt{3} }[/tex] [tex]* \frac{\sqrt{3}}{\sqrt{3}}[/tex] . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.
4x⁶-12x³+9 factorizar las expresiones
Answer:
(2x³ - 3)²
Step-by-step explanation:
4x⁶ - 12x³ + 9
2²x⁶ - 12x³ + 9
2²x²ˣ3 - 2 * 2x³ * 3 + 3²
2² * (x³)² - 2 * 2x³ * 3 + 3²
(2x³)² - 2 * 2x³ * 3 + 3²
(2x³ - 3)²
Hope this helped! :)
Identify the surface area of the composite figure in terms of π.
Answer:
78π m²
Step-by-step explanation:
The lateral area of the cylinder is ...
LA = 2πrh
LA = 2π(3 m)(8 m) = 48π m²
The lateral area of one cone is ...
LA = πrh . . . . where h is the slant height
LA = π(3 m)(5 m) = 15π m²
Then the total surface area of the figure is the area of the two cones plus that of the cylinder:
S = 2(cone area) + cylinder area
S = 2(15π m²) +(48π m²)
S = 78π m²
Simplify the expression –3(x + 3)² – 3 + 3x. What is the simplified expression in standard form?
Answer:
-3x^2-15x-30
Step-by-step explanation:
Follow order of operations
Answer:
-3x^2 -15x -30
Step-by-step explanation:
First you would square the parenthesis, and get x^2 +6x+9 inside the parenthesis, then you would multiply it by the -3 and get -3x^2 -18x-27-3+3x then you combine like terms to get the answer.
Match the graph to one of the exponential functions
Answer:
shoulf be the first one: f(x) (½)^x-3
Need help finding the missing length to the attached triangle.
Answer:
Estimated answer 80
Step-by-step explanation:
I believe its 84 or some where in 80. Because the estimated value I got by solving this geometrical question is somewhere in 80. HOPE this helps! :D
The table represents a linear function. What is the slope of the function?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run
Step-by-step explanation:
:)
10 ft
8 ft
D
Hint: Circumference
of a circle: C = rid
Find the perimeter of this figure to the
nearest hundredth. Use 3.14 to
approximate n.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
[tex]P = \frac{1}{2} 2\pi r + d[/tex]
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
Find the area of the composite figure in square mm. Round your answer to the nearest square milimeter. (Enter only a number as your answer.)
Answer:
157+364= 521 square mm
Step-by-step explanation:
Area of 1/2 circle = 1/2 pi r-squared = 1/2x10x10x3.14 = 157 square mm
Area of trapezoid = (a+b)/2xh = (20+32)/2 x 14 = 364 square mm
157+364= 521 square mm
If the function m(x) has the point (5, 2) on its graph name a point that would be on the function m(5x). (10, 2) (5, 10) (25, 2) (1, 2)
Answer:
(1, 2)
Step-by-step explanation:
The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.
f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).
Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3? On a coordinate plane, a line goes through (0, negative 1) and (3, 1) and another line goes through (0, 3) and (1, negative 1). On a coordinate plane, a line goes through (0, 3) and (1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 1) and (3, 1).
Answer:
A is the correct answer
Step-by-step explanation:
Graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of equations
4x + y = 3 and
2x - 3y = 3
In the first line, the slope is -4, and the y-intercept at (0,3)
In the second line, the slope is 2/3, and the y-intercept at (0,-1)
Thus, graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.
Learn more about the linear equation here:
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Write the expression that is represented by the phrase. The product of a number plus 7 and 3.
Find the factors of the polynomial 45 x2 - 20 y2
Answer:
The factors of the polynomial are 5, ( 3x - 2y), and (3x + 2y)
Step-by-step explanation:
The given polynomial is 45x² - 20y²
45x² - 20y² = 5 (9x² - 4y²)
45x² - 20y² = 5 [ (3x)² - (2y)² ]
Using difference of two squares, (3x)² - (2y)² = ( 3x - 2y)(3x + 2y)
45x² - 20y² = 5 ( 3x - 2y) (3x + 2y)
The factors of the polynomial are 5, ( 3x - 2y), and (3x + 2y)
Answer:
5(3x - 2)(3x + 2)
Step-by-step explanation:
Please indicate exponentiation with " ^ " : 45 x^2 - 20 y^2.
Identify the GCF and factor it out: 5(9x^2 - 4y^2)
Recognize that (9x^2 - 4y^2) is the difference of two squares, which factors into (3x - 2y)(3x + 2y)
Then 45 x^2 - 20 y^2 = 5(3x - 2)(3x + 2)
What is the domain of F(x) = x?
Answer:
All real numbers
Step-by-step explanation:
The equation F(x)=x is an identity function. If you plot this on a graph, you notice that it is a diagonal line that always passes through (0,0), making the domain all real numbers.
Trying to find the missing segment to the triangle in the attached image.
Answer:
25
Step-by-step explanation:
The Side Splitter Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally. Therefore:
6/15 = 10/?
6*? = 10*15
? = 10*15/6
? = 25
Work out the equation of a line when the gradient is 1/2 and it passes through the point (4,-2)
Answer:
The equation of the line is
[tex]y = \frac{1}{2} x - 4[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
Gradient = 1/2
Equation of the line using point ( 4 , -2) is
[tex]y + 2 = \frac{1}{2} (x - 4) \\ y + 2 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 - 2 \\ y = \frac{1}{2} x - 4[/tex]
Hope this helps you
The sets D and J are given below.
D= {4,7,8)
J={-1,1,5,7,8)
Find the intersection of D and J.
Find the union of D and J.
plz help, I need it asap
Answer:
see below
Step-by-step explanation:
15+2x> 31
Subtract 15 from each side
2x > 16
Divide by 2
2x/2 > 16/2
x > 8
There is an open circle at 8
The line goes to the right